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Finding the Fourth Proportional to 385.93, 576.08 and 353.53

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Solution

The fourth proportional to 385.93, 576.08 and 353.53 is: 527.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.93 : 576.08 = 353.53 : x
  2. Step 2: Convert to fraction form
    385.93/576.08 = 353.53/x
  3. Step 3: Cross multiply
    385.93x = 576.08 × 353.53
  4. Step 4: Simplify right side
    385.93x = 203,659.79
  5. Step 5: Solve for x
    x = 203,659.79/385.93
  6. Step 6: Final answer
    x = 527.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.